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Finding the Third Proportional to 171,577 and 258,627

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Solution

The third proportional to 171,577 and 258,627 is: 389,842.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,577 : 258,627 = 258,627 : x
  2. Step 2: Convert to fraction form
    171,577/258,627 = 258,627/x
  3. Step 3: Cross multiply
    171,577x = 258,627 × 258,627
  4. Step 4: Simplify right side
    171,577x = 66,887,925,129
  5. Step 5: Solve for x
    x = 66,887,925,129/171,577
  6. Step 6: Final answer
    x = 389,842.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.